SOLUTION: The profit made by a certain delerar is equal to T % of sales and P percent of cost. Show that P=100T/100-T

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Question 1039311: The profit made by a certain delerar is equal to T % of sales and P percent of cost. Show that P=100T/100-T
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
From the given that the profit p is T% of sales S, we get p+=+%28T%2F100%29S.
From the given that the profit p is P% of cost C, we get p+=+%28P%2F100%29C.
But p = S - C, so
==> p+=+%28100p%29%2FT+-+%28100p%29%2FP, after direct substitution.
==> 1+=+100%2FT+-+100%2FP, after dividing both sides by p.
==> 100%2FP+=+100%2FT+-+1, after transposition.
==> 100%2FP+=+%28100-T%29%2FT, after combining fractions.
==> P%2F100+=+T%2F%28100-T%29, after reciprocation.
==> P+=+%28100T%29%2F%28100-T%29, after multiplying both sides by 100.